Role of the Trigonal Warping on the Minimal Conductivity of Bilayer Graphene

Cserti, József; Csordás, András; Dávid, Gyula

doi:10.1103/physrevlett.99.066802

Cited by 148 publications

(150 citation statements)

References 37 publications

(43 reference statements)

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“…The minimum conductivity in BLG is six times as large as that for single layer graphene. 15 This six time enhancement is independent of the strength of the trigonal warping, indicating the topological nature of the bilayer coupling.…”

Section: Zr Froru Whudkhuw] Uhvsrqvh Lq Elod\hu Judskhqh Qdqruleerqvmentioning

confidence: 87%

“…13,14 Additional unique properties can be found in bilayer graphene ͑BLG͒. Chief among them is the so-called trigonal warping, 15 a phenomenon solely due to the interlayer coupling. Electrons in bilayers can exhibits qualitatively different properties not seen in single layers, such as interlayer drags 16 and correlations.…”

Section: Zr Froru Whudkhuw] Uhvsrqvh Lq Elod\hu Judskhqh Qdqruleerqvmentioning

confidence: 99%

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Two-color terahertz response in bilayer graphene nanoribbons with spin-orbit coupling

Liu

Wang

et al. 2011

Applied Physics Letters

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Section: Zr Froru Whudkhuw] Uhvsrqvh Lq Elod\hu Judskhqh Qdqruleerqvmentioning

confidence: 87%

Section: Zr Froru Whudkhuw] Uhvsrqvh Lq Elod\hu Judskhqh Qdqruleerqvmentioning

confidence: 99%

Two-color terahertz response in bilayer graphene nanoribbons with spin-orbit coupling

Liu

Wang

et al. 2011

Applied Physics Letters

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“…The repercussions of different Hamiltonians on the zero energy minimal conductivity were discussed in Ref. 12, where the effect of the trigonal distortion was found to be significant, whereas the simplified Hamiltonian of Ref. 10 led to results similar to those of the four band model.…”

Section: Introductionmentioning

confidence: 94%

“…In a graphene bilayer we have a DP at each K (and K ′ ) with three satellite DP's, trigonally situated around each K-type point. Thus, this is a new situation; also for the reason that there exist for it both two and four dimensional Hilbert space descriptions 10,12 . The Hamiltonian in the former description is shown in equation (6) and equation (7) ; some essential features of the energy contours are shown in Fig.…”

Section: Geometric Phase Of the Wave Function Componentmentioning

confidence: 99%

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Large Berry phases in layered graphene

Englman¹,

Vértesi

2008

Phys. Rev. B

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Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) phases that the electronic states can acquire when a uniform time-dependent electric field carries the electrons around one or more Dirac points in a nonconcentric fashion. An experimentally accessible determination of excess Berry phases is proposed involving the Zitterbewegung of electronic current near an orthogonality point in adiabatic motion.

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Electron confinement in graphene with gate-defined quantum dots

Fehske

Hager

Pieper

2015

Phys. Status Solidi B

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We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering efficiency of a single dot and demonstrate that for small-sized scatterers the cross-sections are dominated by quantum effects, where resonant scattering leads to a series of quasi-bound dot states. Calculating the conductance and the local density of states for quantum dot superlattices we show that the resonant carrier transport through such graphene-based nanostructures can be easily tuned by varying the gate voltage.Schematic representation of a Dirac electron wave packet impinging on a circular, electrostatically defined quantum dot.Copyright line will be provided by the publisher 1 Introduction High-quality graphene nanostructures are the most likely building blocks in future electronics, plasmonics and photonics assemblies. Most of their striking features arise from the strictly two-dimensional, honeycomb lattice structure of the basic material, which causes the nontrivial topology of the electronic wave function and an almost linear low-energy spectrum of the chiral quasiparticles (charge carriers) near the so-called Dirac nodal points [1]. From an application-technological point of view, the tunability of the transport properties of graphene by external electric and magnetic fields is of particular importance [2]. This allows a controlled modification of selected areas of the sample by gating. For instance, applying nanoscale top gates on graphene nanoribbons (GNRs) or bilayer graphene, single or double quantum dots with particular shape have been produced in recent experiments [3,4,5].

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Role of the Trigonal Warping on the Minimal Conductivity of Bilayer Graphene

Cited by 148 publications

References 37 publications

Two-color terahertz response in bilayer graphene nanoribbons with spin-orbit coupling

Two-color terahertz response in bilayer graphene nanoribbons with spin-orbit coupling

Large Berry phases in layered graphene

Electron confinement in graphene with gate-defined quantum dots

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